Search a number
-
+
2335305625 = 5419332
BaseRepresentation
bin1000101100110001…
…1110111110011001
320000202021211001221
42023030132332121
514240314240000
61023421412041
7111604525132
oct21314367631
96022254057
102335305625
11a99245754
1255210a021
132b2a87063
1418221cc89
15da04761a
hex8b31ef99

2335305625 has 15 divisors (see below), whose sum is σ = 2919708363. Its totient is φ = 1867278000.

The previous prime is 2335305617. The next prime is 2335305631. The reversal of 2335305625 is 5265035332.

The square root of 2335305625 is 48325.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1396741129 + 938564496 = 37373^2 + 30636^2 .

It is not a de Polignac number, because 2335305625 - 23 = 2335305617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1207159 + ... + 1209091.

Almost surely, 22335305625 is an apocalyptic number.

2335305625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2335305625 is the 48325-th square number.

2335305625 is the 24163-rd centered octagonal number.

It is an amenable number.

2335305625 is a deficient number, since it is larger than the sum of its proper divisors (584402738).

2335305625 is an frugal number, since it uses more digits than its factorization.

2335305625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3886 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 34.

The cubic root of 2335305625 is about 1326.7260050716.

The spelling of 2335305625 in words is "two billion, three hundred thirty-five million, three hundred five thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 1933 9665 48325 241625 1208125 3736489 18682445 93412225 467061125 2335305625